1356096560 has 360 divisors, whose sum is σ = 4190758560. Its totient is φ = 405909504.

The previous prime is 1356096559. The next prime is 1356096563. The reversal of 1356096560 is 656906531.

It is not an unprimeable number, because it can be changed into a prime (1356096563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15236996 + ... + 15237084.

It is an arithmetic number, because the mean of its divisors is an integer number (11640996).

Almost surely, 2^1356096560 is an apocalyptic number.

1356096560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356096560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095379280).

1356096560 is an abundant number, since it is smaller than the sum of its proper divisors (2834662000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1356096560 is a wasteful number, since it uses less digits than its factorization.

1356096560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 41.

The square root of 1356096560 is about 36825.2163605321. The cubic root of 1356096560 is about 1106.8706491624.

The spelling of 1356096560 in words is "one billion, three hundred fifty-six million, ninety-six thousand, five hundred sixty".